1. 6-6 Trapezoids and Kites

2. Trapezoid: a quadrilateral with exactly one pair of parallel sides
Isosceles Trapezoid: a trapezoid with legs that are congruent

3. Theorem 6-19
If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent

4. Problem 1: Finding Angle Measures in Trapezoids

6. Problem 2: Finding Angle Measures in Isosceles Trapezoids

7. Theorem 6-20
If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent

8. Midsegment of a trapezoid: is the segment that joins the midpoints of its legs

9. Theorem 6-21 Trapezoid Midsegment Theorem
If a quadrilateral is a trapezoid then:
The midsegment is parallel to the bases
The length of the midsegment is half the sum of the lengths of the bases

10. Problem 3: Using the Midsegment of a Trapezoid

12. Kite: a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent

13. Theorem 6-22
If a quadrilateral is a kite, then its diagonals are perpendicular

14. Problem 4: Finding Angle Measures in Kites